Intelligent Math Puzzle – Challenge 92
Some Math puzzles like the following one stumped even the smartest people. Can You Solve It? The solution is also given.
Challenge:
If A and B are integers and \(\frac{1}{B}=\frac{1}{A}-\frac{1}{20}\) what is the value of A+B?
The Absolute Best Book to challenge your Smart Student!
The correct answer is 9.
\(\frac{1}{B} =\frac{1}{A} -\frac{ 1}{20}\)
Therefore, A is less than B. Why?
Plug in different values for A.
Let’s begin with 2. If A \(= 2 → \frac{1}{B} = \frac{ 1}{2} – \frac{ 1}{20} → \frac{ 1}{B} = \frac{ 9}{20} → 9B = 20\)
B is an integer. Therefore, B cannot be \(\frac{ 20}{9}\)
A \(= 3 → \frac{ 1}{B} = \frac{ 1}{3} – \frac{ 1}{20} → \frac{ 1}{B} = \frac{ 17}{60} → 17B = 60\)
A \(= 4 → \frac{ 1}{B} = \frac{ 1}{4} – \frac{ 1}{20} → \frac{ 1}{B} = \frac{4}{20} → 4B = 20 → B = 5\) Bingo!
A = 4 and B = 5 → A + B = 9The Best Books to Ace Algebra
Related to This Article
More math articles
- Words for Actions, Movement, and Change
- How to Unravel One-to-One Functions
- How is the TABE Test Scored?
- The Best Grade 5 Math Book for Tennessee Students
- South Carolina SC READY Grade 7 Math Worksheets: 95 Free Printable PDFs by Skill
- The Three Branches and Checks and Balances
- 9th Grade Math Worksheets: FREE & Printable
- Amounts of Money Comparison
- Top 10 6th Grade STAAR Math Practice Questions
- 3rd Grade FSA Math Worksheets: FREE & Printable
What people say about "Intelligent Math Puzzle – Challenge 92 - Effortless Math"?
No one replied yet.